I honestly don't see this as a healthcare issue at this point. All systems will be at capacity, all countries will face shortages of swabs and means to test everyone. More people will die in the developing world where the # of ICU beds and specialized staff are in short supply, yes.
It's an issue of the response at the top levels of government and a clear example of a total and abject lack of leadership in some places.
If you had private healthcare but literally almost anyone else in office - be it Hillary, or Mittens, or Obama, or even GWB, the US response would not be this pathetic.